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Solve: xa-a+bx=b(a+b)ax - Mathematics

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प्रश्न

Solve:

`x/a - (a + b)/x = (b(a + b))/(ax)`

योग

उत्तर

`x/a - (a + b)/x = (b(a + b))/(ax)`

⇒ `(x^2 - a^2 - ab)/cancel(ax) = (ab + b^2)/cancel(ax)`

⇒ x2 – a2 – ab = ab + b2

⇒ x2 = a2 + b2 + 2ab

⇒ x2 = (a + b)2

⇒ x2 = (a + b)(a + b)

⇒ x = `sqrt((a + b)(a + b))`

x = ± (a + b)

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अध्याय 5: Quadratic Equations - Exercise 5 (C) [पृष्ठ ६०]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 5 Quadratic Equations
Exercise 5 (C) | Q 32 | पृष्ठ ६०
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